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Matrices or endomorphisms satisfying the Clifford relation , used to realize spinor representations.
Matrix size, reality conditions, and sign conventions depend on dimension, signature, and representation.
wp-gamma_matricesnlab-clifford_algebratong-qftEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A chosen representation of the relevant Clifford algebra sends its generators to gamma matrices. The abstract Clifford algebra does not canonically select a particular matrix realization.
The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.
wp-clifford_algebranlab-clifford_algebrawp-gamma_matricestong-qftEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Gamma matrices realize the Clifford algebra in the Dirac operator.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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